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A266071 Binary representation of the middle column of the "Rule 3" elementary cellular automaton starting with a single ON (black) cell. 3
1, 10, 100, 1001, 10010, 100101, 1001010, 10010101, 100101010, 1001010101, 10010101010, 100101010101, 1001010101010, 10010101010101, 100101010101010, 1001010101010101, 10010101010101010, 100101010101010101, 1001010101010101010, 10010101010101010101 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

LINKS

Robert Price, Table of n, a(n) for n = 0..999

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

FORMULA

G.f.: (1 - x^2 + x^3)/(1 - 10*x - x^2 + 10*x^3). - Michael De Vlieger, Dec 21 2015

EXAMPLE

From Michael De Vlieger, Dec 21 2015: (Start)

First 8 rows at left with the center column values in parentheses, and at right the binary value of center column cells up to that row:

              (1)               ->         1

            1 (0) 0             ->        10

          0 0 (0) 1 0           ->       100

        1 1 1 (1) 0 0 1         ->      1001

      0 0 0 0 (0) 0 1 0 0       ->     10010

    1 1 1 1 1 (1) 1 0 0 1 1     ->    100101

  0 0 0 0 0 0 (0) 0 0 1 0 0 0   ->   1001010

1 1 1 1 1 1 1 (1) 1 1 0 0 1 1 1 ->  10010101

(End)

MATHEMATICA

Table[SeriesCoefficient[(1 - x^2 + x^3)/(1 - 10 x - x^2 + 10 x^3), {x, 0, n}], {n, 0, 19}] (* Michael De Vlieger, Dec 21 2015 *)

CROSSREFS

Cf. A081253 (dec. rep.?)

Sequence in context: A281730 A282954 A282984 * A118256 A102397 A132347

Adjacent sequences:  A266068 A266069 A266070 * A266072 A266073 A266074

KEYWORD

nonn,easy

AUTHOR

Robert Price, Dec 20 2015

STATUS

approved

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Last modified July 16 09:13 EDT 2020. Contains 335784 sequences. (Running on oeis4.)